The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 16GS390
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 62.90d
# First observation: 2016/04/02
# Last observation: 2016/06/04
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.021811 0.000000 0.000269 0.021364 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 6.12 DOF: 19 RMS: 0.13
# Min/Max residuals: -0.33 0.22
# Exact a, adot, b, bdot, g, gdot:
1.446891E-05 1.799661E-02 4.112911E-07 2.336232E-04 2.075191E-02 -5.238275E-03
# Covariance matrix:
9.3036E-13 7.3085E-10 -4.4038E-15 6.7933E-12 1.3421E-10 -8.2937E-09
7.3085E-10 7.7949E-07 -4.8393E-12 7.2041E-09 1.3585E-07 -1.1252E-05
-4.4038E-15 -4.8393E-12 1.6556E-13 -1.0304E-12 -8.3145E-13 7.3939E-11
6.7933E-12 7.2041E-09 -1.0304E-12 8.9525E-11 1.2581E-09 -1.0313E-07
1.3421E-10 1.3585E-07 -8.3145E-13 1.2581E-09 2.4249E-08 -1.7664E-06
-8.2937E-09 -1.1252E-05 7.3939E-11 -1.0313E-07 -1.7664E-06 2.2875E-04
# lat0 lon0 xBary yBary zBary JD0
0.681500 -175.311013 -0.139908 0.011865 -0.985660 2457480.880499
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 290.32251 +/- 98.871
Argument of Peri: 143.91103 +/- 46.591
Long of Asc Node: 142.60225 +/- 1.053
Inclination: 0.99315 +/- 0.020
Eccentricity: 0.27654372 +/- 0.7677
Semi-Major Axis: 50.27580237 +/- 26.4243
Time of Perihelion: 2482682.0316 +/- 29733.0
Perihelion: 36.37234504 +/- 43.0705
Aphelion: 64.17925969 +/- 51.2587
Period (y) 356.4895 +/- 281.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -48.99835623 +/- 0.3604
Ecliptic Y -4.16172941 +/- 0.0295
Ecliptic Z 0.57320030 +/- 0.0043
Ecliptic XDOT 0.00088330 +/- 0.0020
Ecliptic YDOT -0.00231685 +/- 0.0001
Ecliptic ZDOT 0.00002261 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 49.17811976 +/- 0.3591
Geocenter to KBO 48.18832578 +/- 0.3616
# Hcoef: 8.48
The following table shows the complete astrometric record for 16GS390. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (16GS390) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.37971 12 18 17.75 -01 14 16.1 25.0i 16GS390 T09 C~8HFs 2016 04 02.45821 12 18 17.46 -01 14 14.1 25.3i 16GS390 T09 C~8HFs 2016 04 02.46093 12 18 17.44 -01 14 14.1 25.0i 16GS390 T09 C~8HFs 2016 04 02.48284 12 18 17.36 -01 14 13.6 25.1i 16GS390 T09 C~8HFs 2016 04 02.49093 12 18 17.33 -01 14 13.4 25.4i 16GS390 T09 C~8HFs 2016 04 02.50710 12 18 17.26 -01 14 12.9 24.7i 16GS390 T09 C~8HFs 2016 04 04.33742 12 18 10.25 -01 13 27.2 26.2g 16GS390 T09 C~8HFs 2016 04 04.36164 12 18 10.16 -01 13 27.0 26.0g 16GS390 T09 C~8HFs 2016 04 04.38088 12 18 10.07 -01 13 26.4 26.3g 16GS390 T09 C~8HFs 2016 06 04.24853 12 15 27.17 -00 56 16.2 25.0z 16GS390 T09 C~8HFs 2016 06 04.26496 12 15 27.14 -00 56 16.3 24.4z 16GS390 T09 C~8HFs 2016 06 04.28388 12 15 27.10 -00 56 15.8 25.2z 16GS390 T09 C~8HFs
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.16 0.00 -0.05
2 0.0002 -4.79 0.07 0.11 0.10
3 0.0002 -5.06 -0.03 -0.01 -0.02
4 0.0003 -6.36 0.07 -0.02 -0.03
5 0.0003 -6.85 0.09 -0.02 -0.02
6 0.0003 -8.01 -0.04 0.02 0.03
7 0.0054 -122.64 -0.06 0.29 0.22
8 0.0054 -123.96 0.15 -0.06 -0.12
9 0.0055 -125.44 -0.10 -0.05 -0.10
10 0.1721 -2776.89 0.22 -23.41 0.09
11 0.1722 -2777.27 0.11 -23.68 -0.16
12 0.1722 -2778.02 -0.33 -23.46 0.08
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.